what is the derivative of ln 3x 1

what is the derivative of ln 3x 1 The Derivative Calculator lets you calculate derivatives of functions online for free Our calculator allows you to check your solutions to calculus exercises It helps you practice

Detailed step by step solution for derivative of ln 3x 1 Given a function there are many ways to denote the derivative of with respect to The most common ways are and When a derivative is taken times the notation or is used

what is the derivative of ln 3x 1

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The derivative of ln x with respect to x is 1 x The derivative of ln s with respect to s is 1 s In a similar way the derivative of ln 3x with respect to 3x is 1 3x Derivative of ln 3x Natural Language Math Input Extended Keyboard Examples Upload Random Compute answers using Wolfram s breakthrough technology

Formula The formula to finding the derivative of a natural log is actually quite simple Note This can also be written as ln x 1 x Both notations mean the Calculus Find the Derivative d dx natural log of 3x 1 ln 3x 1 ln 3 x 1 Differentiate using the chain rule which states that d dx f g x d d x f g x is f g x g x f g

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Calculus Derivative Calculator Step 1 Enter the function you want to find the derivative of in the editor The Derivative Calculator supports solving first second fourth The outside function f x is f x lnx and the inside function g x is g x 3x Then f g x ln 3x so we We differentiate ln 3x using the chain rule

The derivative of ln x is 1 x We show why it is so in a different video but you can get some intuition here Now that we have the derivative of the natural exponential function we can use implicit differentiation to find the derivative of its inverse the natural logarithmic

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what is the derivative of ln 3x 1 - Find the derivative of the function y ln x 2 Solution Before applying any calculus rules first expand the expression using the laws of logarithms Here we can use rule